1. Use the limit comparison test to determine whether the infinite series is conver a. Σn=27³-1 b. Σ=2 n³ √n²+2n²+1

Q: Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM…

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Q: Set up a triple integral in spherical coordinates that would determine the exact volume outside the…

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Q: The position function of a particle is given by s(t) = t³ - 2t2 - 7t, t20 where s is measured in…

A: Here is the solution:

Q: dy dt = 2y + y5

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Q: (17 points) Differentiate the following function: ƒ(x) = e* + x² ƒ'(x) =

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Q: 58. tanx cotx = secx csc x 2 cos x csc x

A: Verify the given identity  tanx- cotx = secx cosecx -2cosx cosecx

Q: Question 2 Consider the function f(x) = 2x+52-1. For this function there are four important open…

A: Given function y= f(x).

Q: Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A: volume of a sphere is defined as V=43πr3, where r is the radius of the sphere. For volume of…

Q: a. C. 7m-28 m²-3m-4 7 2x²-x-1 || 5 x-1 b. d. 16x²y³ 3 1 3a+18 ÷ 4xy 15x² 1 8 a+6

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Q: 4. Y 4. y. 34-46 where

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Q: Find all numbers c that satisfy the conclusion of the Value Theorem for the following function and…

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Q: Given the Rational Function f(x): = true? Check all that apply. p(x) q(x) which of the following…

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Q: -5 -4 3 3 2 - (1. 4.). M² - (2, ²).M - (1) M-C = , M3 -4 2-4 -3 -2 -1 Given Matrices:M₁ = and…

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Q: The rectangular coordinates of a point are given. Plot the point. (-2√/2, -2√//2) -4 (r, 0) = y 5x 4…

A: Given rectangular coordinates of the point is -22, 22 For a point (x, y),  r=x2+y2 where…

Q: Let f(x) = 1+x+x² + x³. Then the derivative is Thus, f is monotone on R because O A. f'>0 O B. f' <…

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Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: NOTE: Refresh your page if you can't see any equations. . the given temperature is T=330 K and the…

Q: Let y = = (x³ - 7x) ¹(x) . Find dy/dx using the method of logarithmic differentiation. Answer:

A: Let's find dy/dx by using logarithmic differentiation.

Q: Find the critical point of the function: f(x, y) = 4 − 7x + 5x² + 5y + y² This critical point is a:…

A: (a).For a function f(x,y) the critical point is minimum if      D=∂2f∂x2∂2f∂y2- ∂2f∂x∂y2&gt;0 and…

Q: definite integral to find the area under the curve between the given x-values. f(x) = x−1 + x2…

A: Given query is to find the area under the curve.

Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

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Q: please use the method of variation of parameters to determine the particular solution y'"+30y"…

A: The given differential equation is:y'''+30y''-4000y=e-20x

Q: = x² + 2y¹ - 8xy. = Let f(x, y) List the critical points: The critical point at the origin is a…

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Q: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

A: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

Q: 1) Consider the function f(x) = 5x+2. Use basic formulas from Geometry to calculate the Definite…

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Q: Differentiate y = tan ¹(√x). y'

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Q: Which of the following expresses 1-4+16-64 +256 in sigma notation? 5 a. Σ(-4)k-1 k=1 4 b. Σ (-1)…

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Q: 121.8÷0.6

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Q: Find the values of a, y and z that correspond to the critical point of the function: f(x, y) =…

A: We can solve this as follows:

Q: 32. √ ₁²+2x-3d²

A: Given integral I=∫xx2+2x-3 dx

Q: Find the rectangular coordinates of the points that the polar coordinates are given (-6, -5π/6)

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Q: What is the normal line to the curve 9x²+4y²=36 at (0,3) ?

A: To determine the equation of normal line to the given curve.

Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

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Q: Use the formula d =√√²+r₂²-2rr₂ cos(-0₂) to find the distance between the two points indicated in…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

Q: Pictured is the graph of y=f(x). I need help transforming it to y=1/2f(x). Can someone explain?…

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Q: Find the mass of the ball of radius 2 centered at the origin with a density f(p,q,0) = 7e¯p³. The…

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Q: A spring has a natural length of 20 cm. A 40 N force is required to stretch the spring to a length…

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Q: (1) Use the method of reduction of order to find a second linearly independent solution y2: (a) x²y"…

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Q: OBC is a right triangle with right angle C. this triangle base is on the positive x axis the vertex…

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Q: Find the average value of the following function on the given curve. f(x,y)=x+6y on the line segment…

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Q: Assume that the side of an equilateral triangle is measured with a percentage error of at most 1%.…

A: Assume that the side of an equilateral triangle is measured with a percentage error of at most 1%.…

Q: 1. Use appropriate differentiation technique(s) to compute f'(x) for each function below. Simplify…

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Q: Consider a population P=P(r) with constant relative birth and dealt rate a and b and constant…

A: Given dPdt=kP-m

Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

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Q: Suppose that the cost, in dollars, for a company to produce a pairs of a new line of jeans is…

A: Suppose that the cost, in dollars, for a company to produce x pairs of a new lines of jeans is…

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (A'U B) n C' on the Venn…

A: Venn diagram is used to represent  Let's first draw the Venn diagram step by step.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

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Q: 4. I dr 2r + 1 r-1

A: NOTE: Refresh your page if you can't see any equations. . here we can write  1=-2+3